Analytical and Numerical Solution to the Fractional Pendulum

Salas, Alvaro H. (2024) Analytical and Numerical Solution to the Fractional Pendulum. In: Research Updates in Mathematics and Computer Science Vol. 3. B P International, pp. 41-54. ISBN Prof. Qing-Wen Wang Research Updates in Mathematics and Computer Science Vol. 3 04 03 2024 04 03 2024 9788197166587 B P International 10.9734/bpi/rumcs/v3 https://stm.bookpi.org/RUMCS-V3/issue/view/1421

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Abstract

In this paper, we study the fractional pendulum oscillator equation. We solve it both numerically using finite differences method and analytically. The analytical solution is obtained by replacing the original oscillator using an integer-order oscillator. We also compare the numerical solution with the anlalytical solution obtained making use of the Chebyshev-homotopy method (KBM).

Item Type: Book Section
Subjects: Pustakas > Mathematical Science
Depositing User: Unnamed user with email support@pustakas.com
Date Deposited: 08 Apr 2024 08:22
Last Modified: 08 Apr 2024 08:22
URI: http://archive.pcbmb.org/id/eprint/1943

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